The generalized distance spectra of the M-join of graphs

  • G. Kalaivani The Gandhigram Rural Institute, Tamil Nadu, India
  • R. Rajkumar The Gandhigram Rural Institute, Tamil Nadu, India

Abstract

In this paper, we obtain the generalized distance spectra of the graphs constructed by 19 unary and 21 binary graph operations of M-join type when the constituting graphs satisfy some conditions. Also, we deduce a result on the generalized distance spectrum of the double graph of a connected regular graph in the literature. As applications, we construct infinite families of generalized distance cospectral graphs. Also, we construct infinite families of distance (distance Laplacian, distance signless Laplacian) integral graphs.

Published
2024-09-18
Section
Articoli